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The box of a pin hole camera, of length L, has hole of radius a. it is assumed that when the hole is illuminated by a parallel beam of light of wavelength  the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say bmin) when :a=? b(min)=? Please explain the method.

Akshara , 6 Years ago
Grade 12th pass
anser 1 Answers
Arun

Last Activity: 6 Years ago

Dear student
 
spot size (diameter) b = 2 (\lambdaL / 2a) + 2a
a^2 + \lambda l – ab = 0
For real roots
b^2 – 4\lambdaL >= 0
b min = \sqrt4\lambdaL
by eqn (i)
a = \sqrt\lambdaL
 
Regards
Arun (askIITians forum expert)

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